Invariance Of Modules Under Automorphisms Of Their Envelopes And Covers

Author : Ashish K. Srivastava
Publisher :
ISBN 13 :
Total Pages : 223 pages
Book Rating : 4.90/5 ( download)

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Download or read book Invariance of Modules Under Automorphisms of Their Envelopes and Covers written by Ashish K. Srivastava and published by . This book was released on 2021 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The study of modules which are invariant under the action of certain subsets of the endomorphism ring of their injective envelope can be drawn back to the pioneering work of Johnson and Wong in which they characterized quasi-injective modules as those modules which are invariant under any endomorphism of their injective envelope. Later, Dickson and Fuller studied modules which are invariant under the group of all automorphisms of their injective envelope and proved that any indecomposable automorphism-invariant module over an F-algebra A is quasi-injective provided that F is a field with more than two elements. But after that this topic remained in dormant stage for some time until Lee and Zhou picked it up again in their paper where they called such modules auto-invariant modules. But the major breakthrough on this topic came from two papers that appeared a few months later: one of them was a paper of Er, Singh and Srivastava where they proved that the automorphism-invariant modul

Author : Ashish K. Srivastava
Publisher : Cambridge University Press
ISBN 13 : 1108949533
Total Pages : 235 pages
Book Rating : 4.38/5 ( download)

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Download or read book Invariance of Modules under Automorphisms of their Envelopes and Covers written by Ashish K. Srivastava and published by Cambridge University Press. This book was released on 2021-03-18 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a unified treatment of the study of modules invariant under automorphisms of their envelopes and covers.

Author : Ashish K. Srivastava
Publisher : Cambridge University Press
ISBN 13 : 1108960162
Total Pages : 235 pages
Book Rating : 4.68/5 ( download)

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Download or read book Invariance of Modules under Automorphisms of their Envelopes and Covers written by Ashish K. Srivastava and published by Cambridge University Press. This book was released on 2021-03-18 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of invariance of modules under automorphisms of their envelopes and covers has opened up a whole new direction in the study of module theory. It offers a new perspective on generalizations of injective, pure-injective and flat-cotorsion modules beyond relaxing conditions on liftings of homomorphisms. This has set off a flurry of work in the area, with hundreds of papers using the theory appearing in the last decade. This book gives the first unified treatment of the topic. The authors are real experts in the area, having played a major part in the breakthrough of this new theory and its subsequent applications. The first chapter introduces the basics of ring and module theory needed for the following sections, making it self-contained and suitable for graduate students. The authors go on to develop and explain their tools, enabling researchers to employ them, extend and simplify known results in the literature and to solve longstanding problems in module theory, many of which are discussed at the end of the book.

Author :
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.58/5 ( download)

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Download or read book Toyama Mathematical Journal written by and published by . This book was released on 2005 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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ISBN 13 :
Total Pages : 974 pages
Book Rating : 4.22/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Elias G. Katsoulis
Publisher : American Mathematical Soc.
ISBN 13 : 1470435454
Total Pages : 85 pages
Book Rating : 4.55/5 ( download)

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Download or read book Crossed Products of Operator Algebras written by Elias G. Katsoulis and published by American Mathematical Soc.. This book was released on 2019-04-10 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They develop an abstract theory that allows for generalizations of many of the fundamental results from the selfadjoint theory to our context. They complement their generic results with the detailed study of many important special cases. In particular they study crossed products of tensor algebras, triangular AF algebras and various associated C -algebras. They make contributions to the study of C -envelopes, semisimplicity, the semi-Dirichlet property, Takai duality and the Hao-Ng isomorphism problem. They also answer questions from the pertinent literature.

Author : Pierre Simon
Publisher : Cambridge University Press
ISBN 13 : 1107057752
Total Pages : 165 pages
Book Rating : 4.53/5 ( download)

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Download or read book A Guide to NIP Theories written by Pierre Simon and published by Cambridge University Press. This book was released on 2015-07-16 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.

Author : Pierre Colmez
Publisher : American Mathematical Society, Société Mathématique de France
ISBN 13 : 1470469391
Total Pages : 600 pages
Book Rating : 4.99/5 ( download)

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Download or read book Grothendieck-Serre Correspondence written by Pierre Colmez and published by American Mathematical Society, Société Mathématique de France. This book was released on 2022-05-25 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J-P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right-hand pages. The book also includes several facsimiles of original letters. The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schemes, Riemann-Roch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.). Also included are a few letters written between 1984 and 1987. The letters are supplemented by J-P. Serre's notes, which give explanations, corrections, and references further results. The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created.

Author : S. Chmutov
Publisher : Cambridge University Press
ISBN 13 : 1107020832
Total Pages : 521 pages
Book Rating : 4.32/5 ( download)

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Download or read book Introduction to Vassiliev Knot Invariants written by S. Chmutov and published by Cambridge University Press. This book was released on 2012-05-24 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed exposition of the theory with an emphasis on its combinatorial aspects.

Author : Victor Guillemin
Publisher :
ISBN 13 : 9781571462763
Total Pages : 446 pages
Book Rating : 4.67/5 ( download)

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Download or read book Semi-classical Analysis written by Victor Guillemin and published by . This book was released on 2013 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: